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<h2 title="Interface FirstOrderIntegrator" class="title">Interface FirstOrderIntegrator</h2>
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<dd><a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html" title="interface in org.apache.commons.math3.ode">ODEIntegrator</a></dd>
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<dd><a href="../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/AdamsBashforthIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">AdamsBashforthIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/AdamsIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">AdamsIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/AdamsMoultonIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">AdamsMoultonIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">AdaptiveStepsizeIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/ClassicalRungeKuttaIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">ClassicalRungeKuttaIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54Integrator.html" title="class in org.apache.commons.math3.ode.nonstiff">DormandPrince54Integrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince853Integrator.html" title="class in org.apache.commons.math3.ode.nonstiff">DormandPrince853Integrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">EmbeddedRungeKuttaIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/EulerIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">EulerIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/GillIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">GillIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/GraggBulirschStoerIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">GraggBulirschStoerIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/HighamHall54Integrator.html" title="class in org.apache.commons.math3.ode.nonstiff">HighamHall54Integrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/LutherIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">LutherIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/MidpointIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">MidpointIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/MultistepIntegrator.html" title="class in org.apache.commons.math3.ode">MultistepIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/RungeKuttaIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">RungeKuttaIntegrator</a>, <a href="../../../../../org/apache/commons/math3/ode/nonstiff/ThreeEighthesIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">ThreeEighthesIntegrator</a></dd>
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<pre>public interface <span class="strong">FirstOrderIntegrator</span>
extends <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html" title="interface in org.apache.commons.math3.ode">ODEIntegrator</a></pre>
<div class="block">This interface represents a first order integrator for
 differential equations.

 <p>The classes which are devoted to solve first order differential
 equations should implement this interface. The problems which can
 be handled should implement the <a href="../../../../../org/apache/commons/math3/ode/FirstOrderDifferentialEquations.html" title="interface in org.apache.commons.math3.ode"><code>FirstOrderDifferentialEquations</code></a> interface.</p></div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>1.2</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../org/apache/commons/math3/ode/FirstOrderDifferentialEquations.html" title="interface in org.apache.commons.math3.ode"><code>FirstOrderDifferentialEquations</code></a>, 
<a href="../../../../../org/apache/commons/math3/ode/sampling/StepHandler.html" title="interface in org.apache.commons.math3.ode.sampling"><code>StepHandler</code></a>, 
<a href="../../../../../org/apache/commons/math3/ode/events/EventHandler.html" title="interface in org.apache.commons.math3.ode.events"><code>EventHandler</code></a></dd></dl>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/ode/FirstOrderIntegrator.html#integrate(org.apache.commons.math3.ode.FirstOrderDifferentialEquations,%20double,%20double[],%20double,%20double[])">integrate</a></strong>(<a href="../../../../../org/apache/commons/math3/ode/FirstOrderDifferentialEquations.html" title="interface in org.apache.commons.math3.ode">FirstOrderDifferentialEquations</a>&nbsp;equations,
         double&nbsp;t0,
         double[]&nbsp;y0,
         double&nbsp;t,
         double[]&nbsp;y)</code>
<div class="block">Integrate the differential equations up to the given time.</div>
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<h3>Methods inherited from interface&nbsp;org.apache.commons.math3.ode.<a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html" title="interface in org.apache.commons.math3.ode">ODEIntegrator</a></h3>
<code><a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.EventHandler,%20double,%20double,%20int)">addEventHandler</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.EventHandler,%20double,%20double,%20int,%20org.apache.commons.math3.analysis.solvers.UnivariateSolver)">addEventHandler</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#addStepHandler(org.apache.commons.math3.ode.sampling.StepHandler)">addStepHandler</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#clearEventHandlers()">clearEventHandlers</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#clearStepHandlers()">clearStepHandlers</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#getCurrentSignedStepsize()">getCurrentSignedStepsize</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#getCurrentStepStart()">getCurrentStepStart</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#getEventHandlers()">getEventHandlers</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#getMaxEvaluations()">getMaxEvaluations</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#getName()">getName</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#getStepHandlers()">getStepHandlers</a>, <a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#setMaxEvaluations(int)">setMaxEvaluations</a></code></li>
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<h4>integrate</h4>
<pre>double&nbsp;integrate(<a href="../../../../../org/apache/commons/math3/ode/FirstOrderDifferentialEquations.html" title="interface in org.apache.commons.math3.ode">FirstOrderDifferentialEquations</a>&nbsp;equations,
               double&nbsp;t0,
               double[]&nbsp;y0,
               double&nbsp;t,
               double[]&nbsp;y)
                 throws <a href="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                        <a href="../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                        <a href="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a>,
                        <a href="../../../../../org/apache/commons/math3/exception/NoBracketingException.html" title="class in org.apache.commons.math3.exception">NoBracketingException</a></pre>
<div class="block">Integrate the differential equations up to the given time.
 <p>This method solves an Initial Value Problem (IVP).</p>
 <p>Since this method stores some internal state variables made
 available in its public interface during integration (<a href="../../../../../org/apache/commons/math3/ode/ODEIntegrator.html#getCurrentSignedStepsize()"><code>ODEIntegrator.getCurrentSignedStepsize()</code></a>), it is <em>not</em> thread-safe.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>equations</code> - differential equations to integrate</dd><dd><code>t0</code> - initial time</dd><dd><code>y0</code> - initial value of the state vector at t0</dd><dd><code>t</code> - target time for the integration
 (can be set to a value smaller than <code>t0</code> for backward integration)</dd><dd><code>y</code> - placeholder where to put the state vector at each successful
  step (and hence at the end of integration), can be the same object as y0</dd>
<dt><span class="strong">Returns:</span></dt><dd>stop time, will be the same as target time if integration reached its
 target, but may be different if some <a href="../../../../../org/apache/commons/math3/ode/events/EventHandler.html" title="interface in org.apache.commons.math3.ode.events"><code>EventHandler</code></a> stops it at some point.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if arrays dimension do not match equations settings</dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if integration step is too small</dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code> - if the number of functions evaluations is exceeded</dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/NoBracketingException.html" title="class in org.apache.commons.math3.exception">NoBracketingException</a></code> - if the location of an event cannot be bracketed</dd></dl>
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